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Finding the Third Proportional to 350,658 and 766,926

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Solution

The third proportional to 350,658 and 766,926 is: 1,677,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,658 : 766,926 = 766,926 : x
  2. Step 2: Convert to fraction form
    350,658/766,926 = 766,926/x
  3. Step 3: Cross multiply
    350,658x = 766,926 × 766,926
  4. Step 4: Simplify right side
    350,658x = 588,175,489,476
  5. Step 5: Solve for x
    x = 588,175,489,476/350,658
  6. Step 6: Final answer
    x = 1,677,347.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.